Question

at the movie theater, the jumbo - size popcorn bags decreased by 20%. if the old bags held 25 cups of popcorn, how much popcorn do the new bags hold? identify and label the point on the double number line that represents the amount of popcorn the old jumbo - size bags held. popcorn (cups) 0% 20% 40% 60% 80% 100% 120%

Explanation:

Step1: Understand the percentage change

The old bags held 25 cups, which is 100% of the original amount. We need to find the new amount after a 20% decrease. First, calculate the amount of decrease: 20% of 25 cups.
The formula for percentage decrease is: New amount = Old amount - (Percentage decrease * Old amount).
20% of 25 is $0.20\times25 = 5$.

Step2: Calculate the new amount

Subtract the decrease from the old amount: $25 - 5 = 20$.
For the double number line, the old amount (25 cups) corresponds to 100% on the percentage line. So we label the point on the popcorn (cups) line that aligns with 100% on the percentage line with 25, and the new amount (20 cups) would align with 80% (since 100% - 20% = 80%), but the question here is about labeling the old amount's point. The old amount is 25 cups, so we find the tick on the popcorn line that matches 100% on the percentage line and label it 25.

Answer:

The point on the popcorn (cups) number line that aligns with 100% on the percentage number line is labeled 25 (since the old bags held 25 cups, which is 100% of the original capacity). For the new amount, the calculation shows the new bags hold 20 cups (as shown in the steps above). But for labeling the old amount's point, we use 25 at the 100% - aligned tick.